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How many solutions are there to the equation

u + v + w + x + y + z = 10

where u, v, w, x, y, and z are nonnegative integers, and x is at most 2 or y is at least 3?

 May 28, 2023
 #1
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[14 C 5]  +  [14 C 4] ==2,002  +  1,001 ==3,003 solutions.

 May 28, 2023

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